By taking advantage of characteristics between two parallel lines we conclude that the linear equation parallel to f(x) is g(x) = -(4/17) · x + 455/17.
How to determine the equation of a line parallel to another line
In accordance with the analytical geometry, two lines are parallel when they share the same slope (m) but different intercepts (b). Linear functions are usually are described by the following form:
y = m · x + b (1)
Where:
- x - Independent variable
- y - Dependent variable
Based on the given information, we conclude that g(x) has a slope of -4/17. Lastly, we use (1) and the given point to determine the intercept of the function:
27 = -(4/17) · (-1) + b
b = 455/17
By taking advantage of characteristics between two parallel lines we conclude that the linear equation parallel to f(x) is g(x) = -(4/17) · x + 455/17.
To learn more on linear functions: https://brainly.com/question/21107621
#SPJ1
